Calculating Projector Setback

I'm providing support for a simulator installer for one of our Costco clients.   Client name is Dimiceli.

He is requesting specific information about the projector setback to properly fill the screen size.

The first task is for me to verify the exact screen size for this customer. The package with the enclosure has a label that says: 

      "IS-3.7-1.5-2.8-A"

      "Golf enclosure classic 3.7x1.5x2.8 screen XQ-42713-222."
 

Looks like the dimensions are in meters, which would make the enclosure in feet:

      12.14 x 4.92 x 9.9 

The 4.92 feet is the depth of the enclosure, so the screen size would be 

12.14 x 9.9 feet, or 145.68 x 118.8 inches.

Use an online projector calculator for the ViewSonic PS502W and make a setback recommendation for the above screen size.  Here is the link for ViewSonic projectors.

This is an aspect ratio of 4:3.25, which is close, but not the same as 4:3.

Do we know why this vendor builds its enclosure with this odd aspect ratio?  This causes the projector image not to fit the screen.    I'd like to reach out to them and ask if they could change their build dimensions, so the screen has a perfect 4:3 aspect ratio.  This would improve our support efficiency and significantly increase customer satisfaction.

Caution: When using the calculator, once you have set the aspect ratio to 4:3, the calculator will update the setback distance based on the last data you entered.  E.g., if you enter the width last, it will calculate the setback distance to optimize the width with a good fit on the sides, but letterboxing on the top and bottom.  If you enter the height, then it will choose a setback distance that fits the height (top and bottom), but will letterbox on the sides.

For the example here, fitting the sides is the best choice, but leaving letterboxing of about 4.5 inches on the top and bottom.   Higher-end projectors that offer corner correction can avoid the letterboxing, but this typically requires a projector upgrade over our standard projector.